Blow up for the 2D Euler Equation on Some Bounded Domains
Analysis of PDEs
2014-06-17 v1
Abstract
We find a smooth solution of the 2D Euler equation on a bounded domain which exists and is unique in a natural class locally in time, but blows up in finite time in the sense of its vorticity losing continuity. The domain's boundary is smooth except at two points, which are interior cusps.
Keywords
Cite
@article{arxiv.1406.3648,
title = {Blow up for the 2D Euler Equation on Some Bounded Domains},
author = {Alexander Kiselev and Andrej Zlatos},
journal= {arXiv preprint arXiv:1406.3648},
year = {2014}
}